Correct Answer - Option 1 : 2/3
Concept:
If S is a sample space and E is a favourable event then the probability of E is given by:
\(\rm P(E)=\frac{n(E)}{n(S)}\)
Note: OR means Union
Calculation:
The set, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} is a sample space for the given experiment.
The numbers that are even or divisible by 3 are 2, 3, 4, 6, 8, 9, 10, 12
So the set E = {2, 3, 4, 6, 8, 9, 10, 12} describes the event.
\(\rm P \left( {{\rm\text{Even or divisible by 3}}} \right) = \frac{{n\left( E \right)}}{{n\left( S \right)}} = \frac{8}{{12}} = \frac{2}{3}\)